I found the feature 'Report ranges' very powerful but it was rarely used or even discussed in our user community.

Consider this use case:

I want to create a single report for my incidents to understand:

How many incidents were created in each week in the last 60 days;

and

In each week, I want to see 2 groups of incidents:

1 - How many incidents are still in the operational state(new, work in progress, waiting for problem etc.) and

2 - How many incidents are no longer operational(state in resolved, closed etc.)

If you take a minute to think about the requirements of this report, you will realized that it is not easy given what is available from ServiceNow out-of-the-box reporting tools. Essentially, what we need is the capability to performance advanced grouping of our data into a few customized groups based on the 'incident.state' value. Then we can take advantage of the weekly trend feature provided in the 'Time series' reports. The final result should be similar to this:

Follow these simple steps to make this report:

Step 1: Define the groups of 'incident.state' value

Open

The use of this feature can be extended to 3 types of field values: Date/Time(some out-of-the-box ranges are provided), Lists and Integer.

More details can be found in the Docs

Happy reporting!